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75776085 = 325711191151
BaseRepresentation
bin1001000010001…
…00000001010101
312021120211020200
410201010001111
5123344313320
611304051113
71610041350
oct441040125
9167524220
1075776085
1139856770
1221463a99
1312911928
14a0c7297
1569bc290
hex4844055

75776085 has 96 divisors (see below), whose sum is σ = 172523520. Its totient is φ = 29808000.

The previous prime is 75776023. The next prime is 75776131. The reversal of 75776085 is 58067757.

It is not a de Polignac number, because 75776085 - 210 = 75775061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 75776085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65260 + ... + 66410.

It is an arithmetic number, because the mean of its divisors is an integer number (1797120).

Almost surely, 275776085 is an apocalyptic number.

It is an amenable number.

75776085 is an abundant number, since it is smaller than the sum of its proper divisors (96747435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75776085 is a wasteful number, since it uses less digits than its factorization.

75776085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 75776085 is about 8704.9460078739. The cubic root of 75776085 is about 423.1659560410.

The spelling of 75776085 in words is "seventy-five million, seven hundred seventy-six thousand, eighty-five".

Divisors: 1 3 5 7 9 11 15 19 21 33 35 45 55 57 63 77 95 99 105 133 165 171 209 231 285 315 385 399 495 627 665 693 855 1045 1151 1155 1197 1463 1881 1995 3135 3453 3465 4389 5755 5985 7315 8057 9405 10359 12661 13167 17265 21869 21945 24171 37983 40285 51795 63305 65607 65835 72513 88627 109345 113949 120855 153083 189915 196821 240559 265881 328035 362565 443135 459249 569745 721677 765415 797643 984105 1202795 1329405 1377747 1683913 2165031 2296245 3608385 3988215 5051739 6888735 8419565 10825155 15155217 25258695 75776085